Answer:
[tex]L = 6[/tex] --- Length
[tex]W = 4.5[/tex] --- Width
Step-by-step explanation:
Given
Let: [tex]L = Length; W = Width[/tex]
[tex]Area = 27m^2[/tex]
[tex]L = 2W- 3m[/tex]
Required
Find the dimensions of the rectangle
Area (A) is calculated as:
[tex]A = L * W[/tex]
This gives:
[tex]27 = (2W - 3) * W[/tex]
Open bracket
[tex]27 = 2W^2 - 3W[/tex]
Express as a quadratic function
[tex]2W^2 - 3W - 27 = 0[/tex]
Expand
[tex]2W^2 + 6W - 9W - 27 = 0[/tex]
Factorize:
[tex]2W(W + 3) - 9(W + 3) = 0[/tex]
[tex](2W - 9)(W + 3) = 0[/tex]
This gives:
[tex]2W - 9 = 0\ or\ W + 3 = 0[/tex]
[tex]2W = 9 \ or\ W = -3[/tex]
Width can not be negative.
So:
[tex]2W = 9[/tex]
[tex]W = 4.5[/tex]
Recall that:
[tex]L = 2W- 3m[/tex]
[tex]L = 2 * 4.5 - 3[/tex]
[tex]L = 6[/tex]
I will get the belt if I get this wrong pls don't be a bs person
The skeletal system is composed of bones, cartilage, and joints. Our skeletal system has many functions. Choose three of these functions, explain their importance, and provide an example
Answer:
one is for structure, two is for being able to move around, and three is to cover joints or sum like that
Step-by-step explanation:
Answer:
idc if u get the belt, that's what u get anyway, LOL GET RICKROLLED!!
Step-by-step explanation:
Think about how you can use the diagram to figure out the statement of the Pythagorean Theorem
Answer:
Step-by-step explanation:
Remark
There are many ways you can do this. You could, for example, prove this by using just one diagram and do the algebra for that one diagram. Or you could use both diagrams and equate them. I'll do the latter.
Left Diagram
c^2 + the 4 small triangles surrounding c^2 gives
c^2 + 4 * (1/2 * a * b)
Right Diagram
2 * a * b + a^2 + b^2
By the symmetry of the situation, you can find the area of the figures in each diagram. Since a in the left is equal to a on the right, and since b on the left = b on the right, the areas are equal.
Solution
c^2 + 4(1/2 a*b) = 2 * a * b + a^2 + b^2
c^2 + 2*a*b = 2* a * b + a^2 + b^2
c^2 = a^2 + b^2
Notice that the 2ab on the left cancels out with the 2ab on the right.
Solve for all missing measures
Answer:
Step-by-step explanation:
Begin
If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.
<4 = 38 z formation for parallel lines.
<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90
<2 = 52 z formation of parallel lines (a rhombus has ll lines).
<3 = 38 The diagonals of a rhombus bisect each other.
<5 = 38 z formation for parallel lines.
<6 = 52 The diagonals of a rhombus are angle bisectors.
<1 = 52 The diagonals of a rhombus are angle bisectors.
There is 1/4 cup of lemon juice in each pitcher of lemonade?
How many whole cups of lemon juice are there in 12 pitchers of lemonade?
Α. 2
B. З
C. 6
D. 12
Line P is parallel Ito Line Q. Find the measure of angle 7 if the measure of angle 2 = 75.
(Last Question)
Need some help on this thanks!!!
Answer:
The answer would be 3b + 20 = t
Step-by-step explanation:
I think the question is referring to the total cost per month to be a member.
Since it costs 20$ monthly no matter what, that price will always stay the same per month.
However, it also costs $3 per book purchased. This price may not always stay the same, because you could buy a different number of books each month, and the price would be different. The cost for books depends on the number of books you buy, which is not stated in the question.
That is why you replace the number of books with a variable, in this case b.
So the equation would be 3b + 20 = t , with 3 being the cost per book, b being the number of books, 20 being the monthly cost, and t being the total amount per month.
help!!! 50 points!!! plleasses
Answer:
4 times, he bought dinner 4 times
Step-by-step explanation:
if kevin get paid for 3 hours, then you would multiply $14 by 3. you would end up with $42, then the weekly allowance is $21. then by adding $21 to the $42 we have you would get $63. then a bus ride costs $2.50 and since he rode it 6 times you would multiply $2.50 by 6, which would equal $15. Then subtracting $15 from the $63, you would end up with $48, and then by dividing the total amount for the dinner each time bought, so $12/$48 would equal to 4 times.
Find the volume of the figure shown and type your results in the empty box
Find the common ratio.
Answer:
324, -972, 2916
Step-by-step explanation:
Divide a number by the previous number to find r.
r = -12/4 = -3
Multiply a number by r to find the next number.
-108 * (-3) = 324
324 * (-3) = -972
-972 * (-3) = 2916
Answer: 324, -972, 2916
Answer:
1. (1 : -3) is the common ratio
2. 324, 972, 2916
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
Step 1 of 5: Based on the given information, determine if the following statement is true or false. The 54th percentile is less than 26 hours.
Step 2 of 5: Approximately how many families are in the sample? Round your answer to the nearest integer.
Step 3 of 5: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.
Step 4 of 5: What is the value of the 50th percentile?
Step 5 of 5: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.
Answer:
Step-by-step explanation:
The mean of the data is 31 hours and the median of the data 27.2 hours.
24 of the families in the sample turned on the television for less than 16 hours for the week.
The 7th percentile = 16 hours
Step 1:
The median is a value that divides the whole data into two equal parts. It implies that the median represents the 50th percentile of the data.
Given that the median is 27.2 hours, thus the 54th percentile should be greater than 27.2 hours.
Thus, the given statement is false.
Step 2:
Let assume that N is the total number of families
24 of the families in the sample turned on the television for less than 16 hours for the week.
The 7th percentile = 16 hours
It means that 7% of N = 24
N = 24/0.07
N = 343
Step 3:
From (2), N = 343
Given that median= 27.2 hours.
It means 200 families turned on their television for less than 27.2 hours.
We don't know if this is true for 35 hours. 100 families may use less than 35 hours and 200 may use more than 35 or vice versa. In addition to that, even 50 families might use less than 35 and 350 may use more than 35 hours.
Hence, the statement is false.
Step 4:
The median is the 50th percentile value which is = 27.2 hours
Step 5:
The statement is false
The 25th percentile is the first quarter of the data and if the 7th percentile is 16 hours, then the 25th percentile should be greater than that.
The savings off a sofa is $160 and the discounted amount was 20%. What is the original price of the sofa?
Divide the amount of saving by the percent of saving:
160/0.20 = 800
The original price was $800
Which relationships describe angles 1 and 2?
Select each correct answer.
Answer:
3
Step-by-step explanation:
Find the distance between (3,1) and (0,1).
A)
1 square 3
B)
1
C)
2
D)
3
The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Given two points are (3,1) and (0,1)
What is the formula for distance when two points are given?Distance= Sq.root (x2-x1)^2+(y2-y1)^2)
Here x2=1, x1=3, y2=1, y1=0
Distance=Root (1-3)^2+(1-1)^2
=sq.Root(4)
The root of 4 is 2
=2
Therefore distance between (3,1) and (0,1) is 2
To learn more about distance between two points click here: https://brainly.com/question/16319826
#SPJ2
5. Solve for the hypotenuse of the 45-45-90 triangle.
1 point
45°
9
и
Answer:
Step-by-step explanation:
u = 9√2
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
Hello There!
The hypotenuse of a 45-45-90 triangle is equal to x[tex]\sqrt{2}[/tex] (in this case 9)
so u would equal [tex]9\sqrt{2}[/tex]
Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.
answer is 30°
50-20=30°
hope it helps
Use a unit multiplier to convert
$12.00 per hour to dollars per
minute.
Answer:
$00.20 per min
Step-by-step explanation:
Technically $12.00 per hour is $12.00 per 60 min. So now take that and divide $12.00 by 60 and you get 20 cents per min.
Answer:
0.2$ per min
Step-by-step explanation:
Sally has 15 quarts of milk. One quart is equal to 1 4 of a gallon. How many gallons of
milk does Sally have?
A 3 3/4
B 4 1/4
C 15
D 60
Answer:
A- 3 3/4
Step-by-step explanation:
15*1/4= 3 3/4......
Work out the size of angle x
I need help
Answer:
x = 43.34°
Step-by-step explanation:
cos x = 8/11
use your calculator to insert: shift cos x = 8/11
you'll get the measure of x
2(x + 3)=x - 4
help me
Answer:
x = -10
Step-by-step explanation:
2(x+3) = x-4 --> multiply (x+2) times 2
2x+6 = x - 4 --> subtract x from both sides
x+6 = -4 --> subtract 6 from both sides
x = -10
Answer:
x = -10
Step-by-step explanation:
Simplify both sides of the equation.
2 (x+3) = x − 4
(2) (x) + (2) (3) = x + −4 (Distribute)
2x + 6 = x + − 4
2x + 6 = x − 4
Subtract x (1x) from both sides
2x + 6 − x = x − 4 − x
x + 6 = − 4
Subtract 6 from both sides
x + 6 − 6 = − 4 − 6
x = -10
The number of people who like a particular video online triples every day after the day the video is posted. If 15 people like the video on the day it is posted, which inequality can be used to find the number of days, t , it takes for the number of people who have liked the video to reach more than 3,000?
Answer:
[tex]t > 5[/tex]
Step-by-step explanation:
Given
[tex]a = 15[/tex] ---- Initial
[tex]r = 3[/tex] --- rate
Required
The inequality that represents people more than 3000
The given parameters show a geometric sequence and will be calculated using:
[tex]T_t = ar^{t-1[/tex]
Where t is the number of days
For the people to be more than 3000, the expression becomes:
[tex]ar^{t-1} > 3000[/tex]
Substitute values for a and r
[tex]15 * 3^{t-1} > 3000[/tex]
Divide both sides by 15
[tex]3^{t-1} > 200[/tex]
Take log of both sides
[tex]Log3^{t-1} > Log200[/tex]
Apply law of logarithm
[tex](t-1)Log3 > Log200[/tex]
Make t - 1 the subject
[tex]t - 1 > \frac{Log200}{Log3}[/tex]
[tex]t - 1 > 4.82[/tex]
Add 1 to both sides
[tex]t - 1 +1> 4.82 +1[/tex]
[tex]t > 5.82[/tex]
Round down
[tex]t > 5[/tex]
Answer:
20% shaded. 1/5 in simplist form
m^3 - (n + 6 • m) + 4n ; m = 2, n = 8
Answer:
20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
m³ - (n + 6 · m) + 4n
m = 2, n = 8
Step 2: Evaluate
Substitute in variables: 2³ - (8 + 6 · 2) + 4(8)(Parenthesis) Multiply: 2³ - (8 + 12) + 32(Parenthesis) Add: 2³ - 20 + 32Exponents: 8 - 20 + 32Subtract: -12 + 32Add: 20Write the point-slope equation oft line that goes through (1, -1) with slope of -5.
Answer:
y+1=-5(x-1)
Step-by-step explanation:
We need to find the slope intercept form first. So far we have this: y=-5x+b. We could plug in the x value and y value to get this : -1=-5(1)+b. b=4. Now we have the slope intecept form: y=-5x+4, and we could turn it into point slope form.
In Triangle UVW, the measure of Angle W=90", WU = 35 feet, and UV = 92 feét. Find the
measure of Angle U to the nearest tenth of a degree.
Answer:
67.6
Step-by-step explanation:
Adrianna has a garden where she measured the height of a sunflower plant. on the first day it was 1.25 m tall, after 2 weeks it grew by 0.32 m
WHAT IS THE HEIGHT OF THE SUNFLOWER PLANT?
pls answer will give brainlist
Answer:
The height of the sunflower plant is 1.57 meters.
Step-by-step explanation:
Initially, the height of the sunflower plant was of 1.25 m.
Then, it grew by 0.32 m, that is, we have to add 0.32 m to the height.
Sum of decimals:
Dot below dot, add normally. So
1.25
+0.32
---------
1.57
So
The height of the sunflower plant is 1.57 meters.
Find the missing angle in the triangle
A. 37 degrees
B. 39 degrees
C. 51 degrees
D. 53 degrees
If the point (-1,2) lies on the graph of y=f(x), then a point on the graph of y=-2f(x)+5
Answer:
(-1, 1)
Step-by-step explanation:
Multiply f(x) or y value by -2, so (-1, 2) -> (-1, -4)
Add 5 to the f(x) or y value since it is a vertical translation, so (-1, -4) -> (-1, 1)
How to find the following slope-intercept form?
Y-3=7/9(x-4)
Answer:
[tex]y = \frac {7}{9} \times - \frac{1}{9} [/tex]
Add the two expressions to find the combined amount that Ivan and Vicky pledged in terms of m
I’ll mark brainiest if right
Answer:
$10 + $2m
m = 1 mile that Jana bikes.
Step-by-step explanation:
4.25 + 1.25m + 5.75 + 0.75m
Add like terms
10 + 2m
State whether the following statements are True or False:
a) If the perimeter of a square is 96 cm, then its area will be 384 sq. cm.
b) In ∆ ABC and ∆ PQR, Angle A = Angle P, AB = PQ and Angle B =
Angle Q, then the two triangles are congruent by the ASA test.
c) The total cost of putting a fence around a rectangular garden of length
12 m and breadth 6 m at the rate of Rs. 100 per metre is Rs. 3600
d) Each angle of an equilateral triangle is 80°
Answer:
a) False
b) True
c) True
d) False
Step-by-step explanation: